Transformations between inertial and rotating frames of reference

The problem of relating measurements made in an inertial (laboratory) frame to measurements made in a rotating frame is attacked through the derivation from first principles of the appropriate transformation equations. These are then used to derive a metric for a rotating system in which the energy tensor is everywhere zero, i.e. a rotating massless system. This metric is used to obtain descriptions of a variety of phenomena in rotating systems. Similarities between results produced by the metric approach and results produced by the technique of associating linearly-moving Lorentz frames instantaneously with points within the rotating system are indicated. Emphasis is laid throughout upon the way in which measurements made by different techniques are interpreted and related.